Heterotic Line Bundle Models on Generalized Complete Intersection Calabi Yau Manifolds

Abstract

The systematic program of heterotic line bundle model building has resulted in a wealth of standard-like models (SLM) for particle physics. In this paper, we continue this work in the setting of generalised Complete Intersection Calabi Yau (gCICY) manifolds. Using the gCICYs constructed in Ref. [1], we identify two geometries that, when combined with line bundle sums, are directly suitable for heterotic GUT models. We then show that these gCICYs admit freely acting ${\mathbb{Z}}_2$ symmetry groups, and are thus amenable to Wilson line breaking of the GUT gauge group to that of the standard model. We proceed to a systematic scan over line bundle sums over these geometries, that result in 99 and 33 SLMs, respectively. For the first class of models, our results may be compared to line bundle models on homotopically equivalent Complete Intersection Calabi Yau manifolds. This shows that the number of realistic configurations is of the same order of magnitude.

arXiv comment15 pages plus appendices, 1 figure, python repository; v2 modified to match version to be published in jhep, 3 figures, results unchanged

References in corpus (49)

• Compactifications of F-Theory on Calabi--Yau Threefolds -- II
• An SU(5) Heterotic Standard Model
• A Heterotic Standard Model
• Heterotic Line Bundle Standard Models
• Criteria for Conformal Invariance of (0,2) Models
• Heterotic GUT and Standard Model Vacua from simply connected Calabi-Yau Manifolds
• Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds
• A Standard Model from the E8 x E8 Heterotic Superstring
• Non-standard embedding and five-branes in heterotic M-Theory
• Residues and World-Sheet Instantons
• A Comprehensive Scan for Heterotic SU(5) GUT models
• On Free Quotients of Complete Intersection Calabi-Yau Manifolds
• New Calabi-Yau Manifolds with Small Hodge Numbers
• Stability Walls in Heterotic Theories
• Holomorphic Bundles and the Moduli Space of N=1 Supersymmetric Heterotic Compactifications
• The Atiyah Class and Complex Structure Stabilization in Heterotic Calabi-Yau Compactifications
• STRINGVACUA: A Mathematica Package for Studying Vacuum Configurations in String Phenomenology
• Algebroids, Heterotic Moduli Spaces and the Strominger System
• All Complete Intersection Calabi-Yau Four-Folds
• Machine Learning Line Bundle Cohomologies of Hypersurfaces in Toric Varieties
• A New Construction of Calabi-Yau Manifolds: Generalized CICYs
• Yukawa Couplings in Heterotic Standard Models
• Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry
• Machine learning Calabi-Yau metrics
• Machine Learning Line Bundle Cohomology
• The Moduli Space of Heterotic Line Bundle Models: a Case Study for the Tetra-Quadric
• Counting String Theory Standard Models
• A Generalized Construction of Calabi-Yau Models and Mirror Symmetry
• The infinitesimal moduli space of heterotic $G_2$ systems
• Calabi-Yau Threefolds With Small Hodge Numbers
• Explore and Exploit with Heterotic Line Bundle Models
• On Calabi-Yau generalized complete intersections from Hirzebruch varieties and novel K3-fibrations
• Formulae for Line Bundle Cohomology on Calabi-Yau Threefolds
• Deep learning and k-means clustering in heterotic string vacua with line bundles
• Infinitesimal moduli of G2 holonomy manifolds with instanton bundles
• Holomorphic Yukawa Couplings in Heterotic String Theory
• Numerical Calabi-Yau metrics from holomorphic networks
• Heterotic Line Bundle Models on Elliptically Fibered Calabi-Yau Three-folds
• Heterotic Model Building: 16 Special Manifolds
• On Instanton Superpotentials, Calabi-Yau Geometry, and Fibrations
• Index Formulae for Line Bundle Cohomology on Complex Surfaces
• Line bundle cohomologies on CICYs with Picard number two
• Holomorphic Yukawa Couplings for Complete Intersection Calabi-Yau Manifolds
• A remark on generalized complete intersections
• Non-vanishing Heterotic Superpotentials on Elliptic Fibrations
• Jumping Spectra and Vanishing Couplings in Heterotic Line Bundle Standard Models
• Heterotic Instantons for Monad and Extension Bundles
• Cohomology Chambers on Complex Surfaces and Elliptically Fibered Calabi-Yau Three-folds
• Calabi-Yau generalized complete intersections and aspects of cohomology of sheaves

Cited by in corpus (6)

• Orientifold Calabi-Yau Threefolds with Divisor Involutions and String Landscape
• Heterotic String Model Building with Monad Bundles and Reinforcement Learning
• Free Quotients of Favorable Calabi-Yau Manifolds
• Machine Learning on generalized Complete Intersection Calabi-Yau Manifolds
• Hidden Sectors from Multiple Line Bundles for the $B-L$ MSSM
• Yukawa Textures From Singular Spectral Data